Atom-bond sum-connectivity index of line graphs

被引：6
|
作者：
Ge, Yanyan [1 ]
Lin, Zhen [1 ]
Wang, Jiajia [1 ]
机构：
[1] Qinghai Normal Univ, Sch Math & Stat, Xining 810008, Qinghai, Peoples R China
来源：
DISCRETE MATHEMATICS LETTERS | 2023年 / 12卷
基金：
中国国家自然科学基金;
关键词：
atom-bond sum-connectivity index; line graph; extremal graph;
D O I：
10.47443/dml.2023.197
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The recently introduced atom-bond sum-connectivity (ABS) index is receiving nowadays significant attention in chemical graph theory. In this paper, an inequality between the ABS index of a graph and its line graph is established. As a consequence of the obtained inequality, the unique graph with the minimum ABS index among all line graphs of unicyclic graphs of fixed order is determined.
引用
收藏
页码：196 / 200
页数：5
相关论文
共 50 条
  • [41] On the second atom-bond connectivity index of product graphs
    Song, Rui
    Liu, Saihua
    Ou, Jianping
    ARS COMBINATORIA, 2019, 142 : 3 - 11
  • [42] On atom-bond connectivity index
    Das, Kinkar Ch.
    Gutman, Ivan
    Furtula, Boris
    CHEMICAL PHYSICS LETTERS, 2011, 511 (4-6) : 452 - 454
  • [43] On the sum-connectivity spectral radius and sum-connectivity Estrada index of graphs
    Zhan, Fuqin
    Qiao, Youfu
    ARS COMBINATORIA, 2016, 124 : 209 - 223
  • [44] On Atom-Bond Connectivity Index
    Zhou, Bo
    Xing, Rundan
    ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2011, 66 (1-2): : 61 - 66
  • [45] On atom-bond connectivity index
    Das, Kinkar Ch.
    Gutman, Ivan
    Furtula, Boris
    FILOMAT, 2012, 26 (04) : 733 - 738
  • [46] Some upper bounds for the atom-bond connectivity index of graphs*
    Chen, Jinsong
    Liu, Jianping
    Guo, Xiaofeng
    APPLIED MATHEMATICS LETTERS, 2012, 25 (07) : 1077 - 1081
  • [47] Atom-bond connectivity index of unicyclic graphs with perfect matchings
    Li, Jianping
    Zhou, Bo
    ARS COMBINATORIA, 2013, 109 : 321 - 326
  • [48] On Sum-Connectivity Index of Bicyclic Graphs
    Du, Zhibin
    Zhou, Bo
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2012, 35 (01) : 101 - 117
  • [49] The maximum atom-bond connectivity index for graphs with edge-connectivity one
    Cui, Qing
    Qian, Qiuping
    Zhong, Lingping
    DISCRETE APPLIED MATHEMATICS, 2017, 220 : 170 - 173
  • [50] Maximal Unicyclic Graphs With Respect to New Atom-bond Connectivity Index
    Das, Kinkar Ch
    Xu, Kexiang
    Graovac, Ante
    ACTA CHIMICA SLOVENICA, 2013, 60 (01) : 34 - 42
12345